SSC CGL 2025 Tier-I · 17 September 2025, Shift 2 · General Intelligence and Reasoning · Question 25 of 99

We transcribed this text from the pictures on a candidate's response sheet for this shift; the answer is the key SSC colour-marked on that sheet. Solution last reviewed 13 September 2026.

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SSC does not publish CGL question papers or a public answer key. From 2025 the candidate response sheet prints every question and option as a picture, so the text here is transcribed from those pictures for this shift and checked against them independently; where the layout carries meaning, the picture is shown as well. Each answer is the key SSC colour-marked on that sheet. SSC released a tentative key for challenge and later its final one, both only to candidates behind a login, and the sheet does not say which of the two it carries. The solutions are written by UnlockIAS.

In a class of 80 students, 60% are girls. If 75% of the girls passed, how many girls failed?

(a)12
(b)15
(c)18
(d)20

Answer

Why

Correct — A.
Rule: find the girls first, then take the failing share of the girls.

Girls = 60% of 80 = 48
Passed = 75% of 48 = 36
Failed = 48 − 36 = 12 → option (a).

Why the others are wrong

(b)
15 — 15 is 25% of 60, treating the 60 in 60% as a head count. The girls number 60% of 80 = 48, and 25% of 48 is 12.
(c)
18 — 18 failing would leave 30 of the 48 girls passing, which is 62.5%, not the stated 75%.
(d)
20 — 20 is 25% of all 80 students. The failure rate applies to the 48 girls alone, and 25% of 48 is 12.

Concept

This is a percentage of a percentage. The 75% applies to the girls, not the whole class, so count the girls first: 60% of 80 = 48.

If 75% passed, 25% failed, and 25% of 48 = 12. Multiplying straight through gives the same: 80 × 0.6 × 0.25 = 12.

The 32 boys play no part: the question asks about girls alone.

Key facts

60% of 80 = 48 girls, and the remaining 32 students are boys.
75% passed means 25% failed.
25% of 48 = 12.

Study next

Successive percentages, such as a 20% rise followed by a 10% fallFinding the whole from a part and its percentagePass-fail items that combine separate rates for boys and girls

Common traps

Applying the 25% failure rate to all 80 students and choosing 20
Taking 25% of 60, as if 60 were the number of girls, and choosing 15

18 Sep 2024, 12:30, Quant Q.9 tests the same choice of base from a table: 80 of the 200 students in Medical are boys, keyed 40%.

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